7. (8 pts.) Imagine you are the casting director of a blockbuster Hollywood movie and need to find a number of background characters so as to have a sufficient diversity of faces in a certain social scene. The available population of 400 movie extras observes the following breakdown of physical appearance: 40% have brown hair. 14% have blonde hair, 26% have black hair, 9% have red hair, and 11% have gray hair. In this same population, 54% have brown eyes, 19% have green/hazel eyes, 13% have blue eyes, and 14% have eyes of other colors. Assume sampling with replacement and that hair color and eye color are independent (although genetics say otherwise). If you select two people at random, what is the probability that exactly one of them will have red hair and green/hazel eyes?